Answer:
Step-by-step explanation:
Root mean square speed (V) is directly proportional to √{T} where T is the temperature in KELVIN. The root mean square of a gas is given as Vrms = √(3RT/M) where T is the temperature in Kelvin.
So, we can write (V1/V2) = √{T1/T2}
the temperature is being changed from 100 degree celsius or 373.15 kelvin to 200 degree celsius or 473.15 kelvin.
V1=.500Km/s=500m/s, T1=273+100=373K
T2=273+200=473K
From V2 = V1√{T2/T1}
Plugging the values
V2=500sqrt{473/373} = 563m/s.
Hence, the root-mean-square(thermal) speed will be closest to 563 m/s
